Coupled coherent states method for tunneling dynamics: an interpretative study
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917594959708160 |
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| author | Grossmann, Frank |
| author_facet | Grossmann, Frank |
| contents | Numerical solutions of the time-dependent Schrödinger equation based on the variational principle may offer physical insight that cannot be gained by a solution using fixed grids in position and momentum space. Here we focus on the tunneling dynamics in a quartic double-well and the use of classical, trajectory-guided coherent states to gain insight into the workings of the coupled coherent states method developed by Shalashilin and Child [J. Chem. Phys. {\bf 113}, 10028 (2000)]. It is shown that over-the-barrier classical trajectories, alone, can accurately describe the tunneling effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coupled coherent states method for tunneling dynamics: an interpretative study Grossmann, Frank Quantum Physics Numerical solutions of the time-dependent Schrödinger equation based on the variational principle may offer physical insight that cannot be gained by a solution using fixed grids in position and momentum space. Here we focus on the tunneling dynamics in a quartic double-well and the use of classical, trajectory-guided coherent states to gain insight into the workings of the coupled coherent states method developed by Shalashilin and Child [J. Chem. Phys. {\bf 113}, 10028 (2000)]. It is shown that over-the-barrier classical trajectories, alone, can accurately describe the tunneling effect. |
| title | Coupled coherent states method for tunneling dynamics: an interpretative study |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.13847 |